`(btimesc)times(ctimesa)`=

Show that (btimesc)*(atimesd)+(atimesb)*(ctimesd)+(ctimesa)*(btimesd)=0

If a, b and c are three non-coplanar vectors, then find the value of (a*(btimesc))/(ctimes(a*b))+(b*(ctimesa))/(c*(atimesb)) .

If a, b, c and a', b', c' are recoprocal system of vectors, then prove that a'timesb'+b'timesc'+c'timesa'=(a+b+c)/([a b c]) .

Evaluate 8times b times b times b times a times a times a times a

Evaluate: (1) times (1) times (1) times (1) times (-1) times (-1) times (-1) times (-1) times (-1) times (-1) times (-1)

Evaluate a times a times c times c times c times c times d

Solve- (-2)times(-4)times(-6)times(-8)

Evaluate 13 times 13 times 13times a times a times a times a times a times b times b times b times b

Evaluate: a. (-1) times (-1) times (-1) times (-1) times (-1) times (-1) times (-1) times (-1) (-1) times (-1) times (-1) times (-1) times (-1) times (-1) times (-1) times (-1)times (-1) times (-1) times (-1)

Write the following in the exponential form: (a) b times b times b times...10 times. (b) y times y times...15 times (c) 9times a times a times a times b times b times b times b times b (d)8times x times x times y times y times y